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Finding the Fourth Proportional to 431,104.65, 645,552.84 and 359,850.12

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Solution

The fourth proportional to 431,104.65, 645,552.84 and 359,850.12 is: 538,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,104.65 : 645,552.84 = 359,850.12 : x
  2. Step 2: Convert to fraction form
    431,104.65/645,552.84 = 359,850.12/x
  3. Step 3: Cross multiply
    431,104.65x = 645,552.84 × 359,850.12
  4. Step 4: Simplify right side
    431,104.65x = 232,302,266,940.34
  5. Step 5: Solve for x
    x = 232,302,266,940.34/431,104.65
  6. Step 6: Final answer
    x = 538,853.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.